The side length of a square ABCD is 18 inches. what is the side length of the square formed by joining mid points if the sides of abcd

Respuesta :

The side length of the square formed by joining mid points of the sides of ABCD is; 9√2

Pythoagorean Theorem

We are given;

Side length of square ABCD = 18 Inches

The midpoints of ABCD are joined to form a square abcd

To find the side length of abcd;

Since a,b,c,d are midpoints of ABCD, then;

ab = bc = cd = ad

We will use Pythagorean theorem to get; ab, bc, cd and ad.

Thus;

ab = √(9² + 9²)

ab = 9√2

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